SEAN MCGUINNESS. UNIVERSITY OF WATERLOO, Waterloo, Ontario, Canada Ph.D, Mathematics, 1988

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1 Dept. of Mathematics, Thompson Rivers University, Kamloops BC V2C5N3 Canada tel (w) (h) webpage: EDUCATION UNIVERSITY OF WATERLOO, Waterloo, Ontario, Canada Ph.D, Mathematics, 1988 QUEEN S UNIVERSITY, Kingston, Ontario, Canada Master of Science, Mathematics, 1984 ACADIA UNIVERSITY, Wolfville, Nova Scotia, Canada Bachelor of Science(Honours), Mathematics, EXPERIENCE THOMPSON RIVERS UNIVERSITY, Kamloops, BC Asst. Prof., 3-year limited term, Aug Taught Calculus sequence I-IV, Differential equations II. Supervised Honours Thesis, Matroids Representable over GF (q), by Chester Lipka, Organized departmental seminar, Fall Organized discrete math seminar, Winter Organizer for Putnam exam, Fall Wrote and submitted several research papers (5). Successfully applied for NSERC Discovery grant. Refereed papers (6) for various journals. Supervised reading course Theory of Computation, Summer DARTMOUTH COLLEGE, Hanover, NH Visiting Assistant Professor, Sept June 2007 Taught courses in vector calculus, combinatorics, and statistics. 1

2 EXPERIENCE ADELPHI UNIVERSITY, Garden City, NY Assistant Professor, Sept Aug Taught core courses for math majors and electives courses for non-majors. Maintained a research program. UNIVERSITY OF MONTANA, Missoula, MT Guest Professor, Sept June 2002 Taught core courses for math majors, and a graduate course in Matroid Theory. Conducted my own research. Organized a weekly Combinatorics seminar. Was a member of a thesis committee, and assisted with preparation of comprehensive exams. UNIVERSITY OF UMEÅ, Umeå, Sweden Lecturer, Docent, Taught a wide range of courses from discrete math to differential equations, with students ranging from freshmen to graduate students. Maintained an active research program, publishing articles in internationally recognized journals, and also serving as a referee for a number of these journals. Was the recipient of several grants from the Swedish Natural Sciences Research Council. These grants were valued in excess of $20, 000 per year, awarded on average to the top 10 percent of all applicants. Served on various thesis committees, as well being the examiner for student projects. 2

3 Learned and taught courses in Swedish. Helped translate grant applications and course materials from Swedish to English, and proof-read scientific papers. UNIVERSITY OF SOUTHERN DENMARK, Odense, Denmark Visiting Assistant Professor, Taught courses in Probability and Statistics, Stochastic Processes, and Combinatorics. Was also active in research, writing several articles. NATO POSTDOCTORAL FELLOWSHIP Carried out research at the University of Milan under Prof. W. Woess, and later worked with Prof. C. Thomassen at the Technical University of Denmark OTHER NASSAU COMMUNITY COLLEGE, Garden City, NY EXPERIENCE Adjunct, Taught Calculus, Linear Algebra and Differential Equations. SCHOLARSHIPS NSERC GRADUATE SCHOLARSHIP Natural Sciences and Engineering Research Council of Canada University of Waterloo Queen s University, JEFFERY SCHOLARSHIP, Acadia University Scholarship given to top math students AWARDS BRONZE MEDAL, Mathematics, Acadia University, 1982 Awarded to top graduating math major 3

4 GRANTS SWEDISH NATURAL SCIENCES RESEARCH COUNCIL Project - Study of Cycles, Cocycles in Graphs, Colourings and Matroids, Project - Problems in Extremal Graph Theory, Cliques, Cycle Coverings, NSERC DISCOVERY GRANT Project - Cycles in Graphs and problems related to Matroids, , $ 8,000/year. RESEARCH INTERESTS Combinatorics, Graph Theory, Matroid Theory RECENT Canadian Math Society and Sociedad Matematica Mexicana, TALKS Joint meeting, Aug. 2009, Invited talk: A Base Exchange Property for Regular Matroids U. of Victoria Discrete Math Seminar, Feb. 2008, Invited talk: Perfect Path Doouble Covers, Matroids and a Conjecture of Hajos SFU Discrete Math Seminar, April. 2008, Invited talk: Perfect Path Doouble Covers, Matroids and a Problem of Goddyn AMS Special Session on Structure in Graphs and Matroids, Jan. 2007, New Orleans, LA Invited talk: Ore-Type and Dirac-Type Theorems for Matroids 4

5 SIAM Conference on Discrete Mathematics June 2004, Nashville, TN Invited talk: Some New Ideas Concerning the Double Cover Conjecture Canadian Mathematical Society Winter Meeting, Dec. 2003, Vancouver, Canada Invited Talk: and Matroids Sequential Transversals in Graphs DIMACS Workshop on Geometrical Graph Theory, Oct. 2002, Rutgers NJ Invited Talk: Bounding the Chromatic Number of Intersection Graphs of Arcwise Connected Sets AMS Meeting, June 2002, Portland OR Invited Talk: Circuits Intersecting Cocircuits in Graphs and Matroids Big Sky Conference on Discrete Math, Sept. 2001, Univ. of Montana Talk: A Problem for Matroids: Finding a Circuit Intersecting All Largest cocircuits PIMS Workshop on Graphs and Cycles, July 2000, Simon Fraser University, Canada Invited Talk: Double Covers of Cubic Graphs of Oddness Four CNRS Conference on Discrete Math, Sept. 2000, Marseille, France Talk: Contractible Bonds in Graphs Without K 5 Minors 5

6 SKILLS C++, Maple, Matlab, HTML, TeX, R, Postscript Fluent in Swedish PERSONAL Canadian Citizen. 6

7 PUBLICATIONS Articles in Refereed Journals: 1. McGuinness, S., Ore-Type and Dirac-Type Theorems for Matroids, J. Combinatorial Theory, Series B, 99, , Jones, S., McGuinness, S., Defining Matroids Through Sequential Selection, European Journal of Combinatorics, (28), , McGuinness, S., Circuits Through Cocircuits in a Graph Combinatorica 25(4), , McGuinness, S., Bonds Intersecting Cycles in a Graph, Combinatorica 25(4), , Häggkvist, R., McGuinness, S., Double Covers of Cubic Graphs of Oddness 4, J. Combinatorial Theory, Series B, Vol. 93, (2), , McGuinness, S., Contractible Bonds in Graphs, J. Combinatorial Theory, Series B, Vol. 93, (2), , Van Den Heuvel, J., McGuinness, S., Colouring the Square of a Planar Graph, J. Graph Theory 42, , McGuinness, S., On Decomposing a Graph into Non-trivial Bonds, J. Graph Theory 35, , McGuinness, S., Colouring Arcwise Connected Sets in the Plane II, Graphs and Combinatorics, 17, , McGuinness, S., Colouring Arcwise Connected Sets in the Plane I, Graphs and Combinatorics, 16, , Goddyn, L., Van Den Heuvel, J., McGuinness, S., Removable Circuits in Multigraphs, J. Combinatorial Theory, Series B, Vol. 71, (2), , McGuinness, S., On bounding the Chromatic Number of L-Graphs, Discrete Math, 154, , McGuinness, S., Greedy Clique Decompositions and the Turan Numbers, European Journal of Combinatorics, 16, , McGuinness, S., Greedy Maximum Clique Decompositions, Combinatorica (3) ,

8 15. McGuinness, S., Restricted Greedy Clique Decompositions and Greedy Clique Decompositions of K 4 - free graphs, Combinatorica 14 (3), , McGuinness, S., The Greedy Clique Decomposition of a Graph, Journal of Graph Theory, Vol. 18, no. 4, , Markvorsen, S., McGuinness, S., Thomassen, C., Transient Random Walks on Graphs and Metric Spaces with Applications to Hyperbolic Surfaces, Proc. London Math. Soc., (3) 64, 1-20, McGuinness, S., Recurrent Networks and a Theorem of Nash-Williams, J. Theor. Prob., vol. 4, no. 1, McGuinness, S., Rees, R., On the Number of Distinct Minimal Clique Partitions and Clique Covers of Line Graphs, Discrete Math, 83, 49-62, Chakravarty, N., Holman, G., McGuinness, S., Rescki, A., One-Story Buildings as Tensegrity Frame Networks, Structural Topology, no. 12, Gregory, D.A., McGuinness, S., Wallis, W., Clique Partitions of the Cocktail Party Graph, Discrete Math, 59, , Articles accepted for publication: 1. McGuinness, S., An Erdős-Gallai Theorem for Matroids, 11 pages, accepted to Annals of Combinatorics, McGuinness, S., Circuit and Fractional Circuit Covers of Matroids, 9 pages, accepted to European Journal of Combinatorics, McGuinness, S., Cycle and Cocycle Coverings of Graphs, 15 pages, accepted to Journal of Graph Theory, Articles submitted for publication: 1. McGuinness, S., A Conjecture of Welsh Revisited, 11 pages, Submitted to European Journal of Combinatorics, McGuinness, S., A Base Exchange Property for Regular Matroids, 60 pages, Submitted to J. Combinatorial Theory, Series B,

9 Articles in preparation McGuinness, S., Dominating Circuits in Matroids, Research Reports: 1. Häggkvist, R., McGuinness, S., On Decomposing 4-partite Graphs in Triangles, 7 pages, McGuinness, S., Transient Networks and Fattenings of the Line, research report, 13 pages, University of Umeå, McGuinness, S., Transient Markov Chains which Jump Along a Line, research report, 13 pages, Technical University of Denmark, McGuinness, S., Stoustrup, J., On the Generic Controllability Index of a Time-Varying Structered System, research report, 11 pages, Technical University of Denmark, McGuinness, S., Random Walks on Generalized Lattices, research report, Technical University of Denmark, Theses: 1. McGuinness, S., The Double Cover Conjecture, M.Sc. Thesis, Queen s University, McGuinness, S., Random Walks on Graphs and Digraphs, Ph.D. Thesis, University of Waterloo,

Sean McGuinness Associate Professor

Sean McGuinness Associate Professor Associate Professor Dept. of Mathematics Thompson Rivers University +1 (778) 220 6447 +1 (250) 877 6180 smcguinness@tru.ca faculty.tru.ca/smcguinness "Döda fiskar flyter med älven" (Dead fish float with